NUMBER OF SINGULARITIES OF STABLE MAPS ON SURFACES

被引：1

作者：

Yamamoto, Takahiro ^{[1
]}

机构：

[1] Kyushu Sangyo Univ, Fac Engn, Higashi Ku, 3-1 Matsukadai 2 Chome, Fukuoka 8138503, Japan

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2016年 / 280卷 / 02期

关键词：

stable map; cusp; node;

D O I：

10.2140/pjm.2016.280.489

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N denote the plane R-2 or the 2-sphere S-2. In this paper, we determine the 5-tuples of integers (g, d, i, c, n) such that there exists a degree d stable map Sigma(g) -> N whose singular point set consists of i connected components, c cusps, and n nodes, where Sigma(g) is the standard genus g surface.

引用

页码：489 / 510

页数：22

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